Concordance Crosscap Number of a Knot

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dc.creatorZhang, Gengyu
dc.date2006-08-16
dc.date.accessioned2026-07-07T07:21:52Z
dc.date.available2026-07-07T07:21:52Z
dc.descriptionWe define the concordance crosscap number of a knot as the minimum crosscap number among all the knots concordant to the knot. The four-dimensional crosscap number is the minimum first Betti number of non-orientable surfaces smoothly embedded in 4-dimensional ball, bounding the knot. Clearly the 4-dimensional crosscap number is smaller than or equal to the concordance crosscap number. We construct two infinite sequences of knots to explain the gap between the two. In particular, the knot $7_4$ is one of the examples.
dc.description9 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0608421
dc.identifierhttp://arxiv.org/abs/math/0608421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115452
dc.subjectGeometric Topology
dc.subject57M25
dc.titleConcordance Crosscap Number of a Knot
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